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goblinko [34]
3 years ago
7

A court reporter is transcribing a report from Canada. The report states that the suspect was driving his vehicle at a rate of 1

00 kilometers per hour. How many miles (mi.) per hour is this? Round your answer to the nearest mile per hour
Mathematics
2 answers:
Anna007 [38]3 years ago
8 0

I got an answer of 62 miles per hour when rounded to the nearest ones


Dmitry [639]3 years ago
7 0

Answer: 62 miles per hour

Step-by-step explanation:

We know that One mile = 1.60934 kilometers

\Rightarrow\ \text{One kilometer}=\dfrac{1}{1.60934}=0.62137273665\approx0.6214\text{ mile}

Given: The speed of suspect =  100 kilometers per hour

In miles per hour, the speed of suspect will be :

0.6214\times100=62.14\approx62\text{ miles per hour}

Hence, the speed of suspect = 62 miles per hour

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deff fn [24]
First, we arrange the data from least to greatest:
  90, 100, 100, 200, 203, 224, 233, 237, 245, 257, 264, 265, 265, 266, 277, 279, 285, 288, 288, 290, 290, 291, 291, 300

There are 24 data all in all. The mean is calculated by dividing by 24 the sum of all the data.
                        mean = (5828)/24242.83

The median of the number of jumps is the mean of the 12th and 13th term.
                          265 
5 0
3 years ago
Please help I’m having a hard time
Nata [24]

Answer:

4b³c⁴ + 2b⁴c³

Step-by-step explanation:

5b⁴c³ and 3b⁴c³ have the same variables. Therefore, they are like terms.

4b³c⁴ + 5b⁴c³ - 3b⁴c³

4b³c⁴ + 2b⁴c³

3 0
2 years ago
An amortized loan of RM60,000 has annual payments for fifteen years, the first occurring exactly one year after the loan is made
Nimfa-mama [501]

9514 1404 393

Answer:

  a) RM2256.09 . . . principal paid by 8th payment

  b) RM1791.10 . . . . interest paid by 12th payment

Step-by-step explanation:

First of all, we need to find the payments.

The payment amount is the amount that makes the future value of the series of payments equal to the future value of the loan at the given interest rate.

The future value of a single amount is ...

  FV = P(1 +r)^n . . . . . where r is the annual rate, and n is the number of years in the future

The future value of a series of payments is ...

  FV = P((1 +r)^n -1)/r . . . . . where n is the number of payments of P earning annual rate r

For payments in a series that does not end at the end of the loan, the future value is the product of that of the series and the effect of the accumulation of interest for the remaining time.

__

The first 4 payments will have a future value at the end of the loan period of ...

  s1 = X((1 +0.05)^4 -1)/0.05×(1 +0.05)^11 = X(1.05^15 -1.05^11)/0.05

  s1 = 7.3717764259X

The next 5 payments will have a future value at the end of the loan period of ...

  s2 = 2X((1 +0.05)^5 -1)/0.05×(1 +0.05)^6 = 2X(1.05^11 -1.05^6)/0.05

  s2 = 14.8097486997X

The last 6 payments will have a future value at the end of the loan period of ...

  s3 = 4X((1 +0.05)^6 -1)/0.05 = 27.20765125X

So, the total future value of the series of payments is ...

  payment value = 7.3717764259X +14.8097486997X +27.20765125X

  = 49.3891763756X

__

The future value of the loan amount after 15 years is ...

  loan value = 60,000(1 +0.05)^15 = 124,735.69

In order for these amounts to be the same, we must have ...

  49.3891763756X = 124,735.69

  X = 124,735.69/49.3891763756 = 2,525.57

__

At this point, it is convenient to use a spreadsheet to find the interest and principal portions of each of the loan payments. (We find the interest charge to be greater than the payment amount for the first 4 payments. So, the loan balance is increasing during those years.)

In the attached, we have shown the interest on the beginning balance, and the principal that changes the beginning balance to the ending balance after each payment. (That is, the interest portion of the payment is on the row above the payment number.)

The spreadsheet tells us ...

A) the principal repaid in the 8th payment is RM2,256.09

B) the interest paid in the 12th payment is RM1,791.10

_____

<em>Additional comment</em>

The spreadsheet "goal seek" function could be used to find the payment amount that makes the loan balance zero at the end of the term.

We have used rounding to sen (RM0.01) in the calculation of interest payments. The effect of that is that the "goal seek" solution is a payment value of 2525.56707 instead of the 2525.56734 that we calculated above. The value rounded to RM0.01 is the same in each case: 2525.57.

3 0
2 years ago
Add: (x^3+x^2 ) + (2x^3-5x^2)
suter [353]
We can ad like terms basically
x^2 can be added to 2x^2 but not 3 or 2x^4
so we have
(x^3+x^2)+(2x^3-5x^2)
using associative and commutative property
remove the parenthaseese
x^3+x^2+2x^3-5x^2
and move them around so group the like terms
1x^3+2x^3+1x^2-5x^2
add
3x^3-4x^2
tada
4 0
3 years ago
Read 2 more answers
Is triangle abc a right triangle? AB=5, BC=7, AC=11.5
Basile [38]

Answer:

No, it is not

Step-by-step explanation:

11.5 is the longest side, so it is most probably the hypotenuse

using the formula a²+ b² = c², lets input the numbers

5² + 7² = 11.5²

25 + 49 = 132.25

74  ≠ 132.25

So this is wrong

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

3 0
3 years ago
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